1021410141201 has 24 divisors (see below), whose sum is σ = 1477444756320. Its totient is φ = 679982904000.

The previous prime is 1021410141181. The next prime is 1021410141233.

1021410141201 is a `hidden beast` number, since 10 + 2 + 1 + 410 + 1 + 41 + 201 = 666.

1021410141201 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-1021410141201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1021410141601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77543346 + ... + 77556516.

It is an arithmetic number, because the mean of its divisors is an integer number (61560198180).

Almost surely, 2^{1021410141201} is an apocalyptic number.

It is an amenable number.

1021410141201 is a deficient number, since it is larger than the sum of its proper divisors (456034615119).

1021410141201 is a wasteful number, since it uses less digits than its factorization.

1021410141201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24637 (or 24634 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 1021410 and 141201, that added together give a palindrome (1162611).

The spelling of 1021410141201 in words is "one trillion, twenty-one billion, four hundred ten million, one hundred forty-one thousand, two hundred one".